Bob and his best friend Bill have the same birthday, but Bob is 3 years older than Bill. Let the variable x represent Bob’s age and y represent Bill’s age. Which equation models the relationship between Bill’s age and Bob’s age?a. y = x/3
b. y = x + 3
c. x = y + 3
d. y = 3x
Is the statement true or false? (ab)c = a(cb).
a. True
b. False

Answer:

C)   The diagram in this figure illustrates a reflex angle

Step-by-step explanation:

Given : A diagram with an angle.

To find : The diagram in this figure illustrates a _______ angle.  

Solution : We can see from figure it is greater than 180 degree and less than 360 degree.

By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.

Therefore,  C)   The diagram in this figure illustrates a reflex angle.

Answer:

Column A: Domain: B: -6, -3, -2, 0, 2, 3, 5, 8

Column A: Range: A: -2, -1, 9, 2, 3

Step-by-step explanation:

We can derive these answers by looking at the x and y values of each dot. The Domain is represented by the x values, and the Range is represented by the y values.

The answers chosen contain the x and y values that the graph represents.

Answer:

1. How many points was each part worth?

 - 12 points

2. How many questions did part A have?

 - 2 questions

3. How many questions did Part B have?

 - 3 questions

Step-by-step explanation:

We can set up our equation like this:

6x = 4y

In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.

Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.

Since 6 is higher than 4, it's easier to go off of there.

6 x 1 = 6                        4 is too big to go into 6 so we will move on.

6 x 2 = 12                      4 goes into 12 3 times so we can use this.

Now that we've figured this out, we can put it in our equation:

6(2) = 4(3)

In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.

Now we can start with the questions:

1. How many points was each part worth?

Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing

2. How many questions did part A have?

Part A had 2 questions because this is what x was when we multiplied by 6

3. How many questions did Part B have?

Part B had 3 questions because this is what y was when we multiplied by 4

Hope this helps!!

Final answer:

Each part is worth 12 points. Part A has 2 questions. Part B has 3 questions.

Explanation:

The problem states that the number of points for Part A is equal to the number of points for Part B, and we need to find the least number of points for which this is possible. Let's represent the number of questions in Part A as x. Since each true/false question is worth 6 points, the total points for Part A will be 6x. Similarly, let's represent the number of questions in Part B as y. Since each multiple choice question is worth 4 points, the total points for Part B will be 4y. To find the least number of points for which the two parts are equal, we need to find the smallest common multiple of 6 and 4.

The prime factorization of 6 is 2 x 3.

The prime factorization of 4 is 2 x 2.

From the prime factorization, we can see that the least common multiple (LCM) of 6 and 4 is 2 x 2 x 3 = 12.

Therefore, each part is worth 12 points.

To find the number of questions in Part A and Part B, we can substitute 12 for the total points in each part and solve for x and y:

6x = 12

x = 2

4y = 12

y = 3

Learn more about Least Common Multiple here:

brainly.com/question/34291727

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